Convert the following repeating decimal to a fraction in simplest form.
point, 56
To convert the repeating decimal 0.565656... to a fraction, we can denote it as x and subtract it from 100x, according to the method of converting repeating decimals to fractions.
100x = 56.565656...
x = 0.565656...
Subtracting x from 100x, we get:
100x - x = 56.565656... - 0.565656...
99x = 56
x = 56/99
Therefore, the fraction equivalent to the repeating decimal 0.565656... is 56/99, which is already in its simplest form.